Passivity gains and the "secant condition" for stability

Eduardo D. Sontag

doi:10.1016/j.sysconle.2005.06.010

Passivity gains and the "secant condition" for stability

Eduardo D. Sontag

Research output: Contribution to journal › Article › peer-review

51 Scopus citations

Abstract

A generalization of the classical secant condition for the stability of cascades of scalar linear systems is provided for passive systems. The key is the introduction of a quantity that combines gain and phase information for each system in the cascade. For linear one-dimensional systems, the known result is recovered exactly.

Original language	English (US)
Pages (from-to)	177-183
Number of pages	7
Journal	Systems and Control Letters
Volume	55
Issue number	3
DOIs	https://doi.org/10.1016/j.sysconle.2005.06.010
State	Published - Mar 1 2006

All Science Journal Classification (ASJC) codes

Control and Systems Engineering
Computer Science(all)
Mechanical Engineering
Electrical and Electronic Engineering

Keywords

Negative feedback
Passive systems
Secant condition
Stability

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KW - Stability

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